Local Fusion Graphs and Sporadic Simple Groups

Ballantyne, John and Rowley, Peter (2015) Local Fusion Graphs and Sporadic Simple Groups. Electronic Journal of Combinatorics, 22 (3).

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For a group G with G-conjugacy class of involutions X, the local fusion graph F(G,X) has X as its vertex set, with distinct vertices x and y joined by an edge if, and only if, the product xy has odd order. Here we show that, with only three possible exceptions, for all pairs (G,X) with G a sporadic simple group or the automorphism group of a sporadic simple group, F(G,X) has diameter 2.

Item Type: Article
Uncontrolled Keywords: Local Fusion Graph, Sporadic Simple Group, Diameter
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Dr John Ballantyne
Date Deposited: 21 Sep 2015
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2383

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